메뉴 건너뛰기




Volumn 119, Issue 14, 2015, Pages 3400-3406

Near spectroscopically accurate ab initio potential energy surface for NH4+ and variational calculations of low-lying vibrational levels

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; MEAN SQUARE ERROR; MOLECULAR PHYSICS; POTENTIAL ENERGY SURFACES; QUANTUM CHEMISTRY; VARIATIONAL TECHNIQUES;

EID: 84927135776     PISSN: 10895639     EISSN: 15205215     Source Type: Journal    
DOI: 10.1021/acs.jpca.5b01835     Document Type: Article
Times cited : (10)

References (75)
  • 2
    • 0000677365 scopus 로고
    • The Analytical Representation of Electronic Potential-Energy Surfaces
    • Schatz, G. C. The Analytical Representation of Electronic Potential-Energy Surfaces Rev. Mod. Phys. 1989, 61, 669
    • (1989) Rev. Mod. Phys. , vol.61 , pp. 669
    • Schatz, G.C.1
  • 5
    • 0001106715 scopus 로고    scopus 로고
    • A Purely Ab Initio Spectroscopyic Quality Quartic Force Field for Acetylene
    • Martin, J. M. L.; Lee, T. J. A Purely Ab Initio Spectroscopyic Quality Quartic Force Field for Acetylene J. Chem. Phys. 1998, 108, 676
    • (1998) J. Chem. Phys. , vol.108 , pp. 676
    • Martin, J.M.L.1    Lee, T.J.2
  • 6
    • 9944236731 scopus 로고    scopus 로고
    • Methods for Calculating Vibrational Energy Levels
    • Carrington, T., Jr. Methods for Calculating Vibrational Energy Levels Can. J. Chem. 2004, 82, 900
    • (2004) Can. J. Chem. , vol.82 , pp. 900
    • Carrington, Jr.T.1
  • 7
    • 45149101350 scopus 로고    scopus 로고
    • Recursive Solutions to Large Eigenproblems in Molecular Spectroscopy and Reaction Dynamics
    • Guo, H. Recursive Solutions to Large Eigenproblems in Molecular Spectroscopy and Reaction Dynamics Rev. Comput. Chem. 2007, 25, 285-347
    • (2007) Rev. Comput. Chem. , vol.25 , pp. 285-347
    • Guo, H.1
  • 8
    • 56049095799 scopus 로고    scopus 로고
    • Variational Quantum Approaches for Computing Vibrational Energies of Polyatomic Molecules
    • Bowman, J. M.; Carrington, T.; Meyer, H.-D. Variational Quantum Approaches for Computing Vibrational Energies of Polyatomic Molecules Mol. Phys. 2008, 106, 2145-2182
    • (2008) Mol. Phys. , vol.106 , pp. 2145-2182
    • Bowman, J.M.1    Carrington, T.2    Meyer, H.-D.3
  • 9
    • 84899012581 scopus 로고    scopus 로고
    • Exomol Line Lists. IV. The Rotation-Vibration Spectrum of Methane up to 1500 K
    • Yurchenko, S. N.; Tennyson, J. Exomol Line Lists. IV. The Rotation-Vibration Spectrum of Methane up to 1500 K Mon. Not. R. Astron. Soc. 2014, 440, 1649-1661
    • (2014) Mon. Not. R. Astron. Soc. , vol.440 , pp. 1649-1661
    • Yurchenko, S.N.1    Tennyson, J.2
  • 10
    • 84902589980 scopus 로고    scopus 로고
    • Theoretical Hot Methane Line Lists up to T = 2000 K for Astrophysical Applications
    • Rey, M.; Nikitin, A. V.; Tyuterev, V. G. Theoretical Hot Methane Line Lists up to T = 2000 K for Astrophysical Applications. Astrophys. J. 2014, 789.
    • (2014) Astrophys. J. , vol.789
    • Rey, M.1    Nikitin, A.V.2    Tyuterev, V.G.3
  • 11
    • 84908053080 scopus 로고    scopus 로고
    • Using Experimental Data and a Contracted Basis Lanczos Method to Determine an Accurate Methane Potential Energy Surface from a Least Squares Optimization
    • Wang, X.-G.; Carrington, T. Using Experimental Data and a Contracted Basis Lanczos Method to Determine an Accurate Methane Potential Energy Surface from a Least Squares Optimization J. Chem. Phys. 2014, 141, 154106
    • (2014) J. Chem. Phys. , vol.141 , pp. 154106
    • Wang, X.-G.1    Carrington, T.2
  • 12
    • 84937729741 scopus 로고    scopus 로고
    • Explicitly-Correlated MRCI-F12 Potential Energy Surfaces for Methane Fit with Several Permutation Invariant Schemes and Full-Dimensional Vibrational Calculations
    • Majumder, M.; Hegger, S. E.; Dawes, R.; Manzhos, S.; Wang, X.-G.; Carrington, T.; Li, J.; Guo, H. Explicitly-Correlated MRCI-F12 Potential Energy Surfaces for Methane Fit with Several Permutation Invariant Schemes and Full-Dimensional Vibrational Calculations Mol. Phys. 2015, 10.1080/00268976.2015.1015642
    • (2015) Mol. Phys.
    • Majumder, M.1    Hegger, S.E.2    Dawes, R.3    Manzhos, S.4    Wang, X.-G.5    Carrington, T.6    Li, J.7    Guo, H.8
  • 14
    • 72449129392 scopus 로고    scopus 로고
    • Permutationally Invariant Potential Energy Surfaces in High Dimensionality
    • Braams, B. J.; Bowman, J. M. Permutationally Invariant Potential Energy Surfaces in High Dimensionality Int. Rev. Phys. Chem. 2009, 28, 577-606
    • (2009) Int. Rev. Phys. Chem. , vol.28 , pp. 577-606
    • Braams, B.J.1    Bowman, J.M.2
  • 15
    • 79955435040 scopus 로고    scopus 로고
    • High-Dimensional Ab Initio Potential Energy Surfaces for Reaction Dynamics Calculations
    • Bowman, J. M.; Czakó, G.; Fu, B. High-Dimensional Ab Initio Potential Energy Surfaces for Reaction Dynamics Calculations Phys. Chem. Chem. Phys. 2011, 13, 8094-8111
    • (2011) Phys. Chem. Chem. Phys. , vol.13 , pp. 8094-8111
    • Bowman, J.M.1    Czakó, G.2    Fu, B.3
  • 19
    • 84903362821 scopus 로고    scopus 로고
    • Permutation Invariant Polynomial Neural Network Approach to Fitting Potential Energy Surfaces
    • Jiang, B.; Guo, H. Permutation Invariant Polynomial Neural Network Approach to Fitting Potential Energy Surfaces J. Chem. Phys. 2013, 139, 054112
    • (2013) J. Chem. Phys. , vol.139 , pp. 054112
    • Jiang, B.1    Guo, H.2
  • 20
    • 84903362821 scopus 로고    scopus 로고
    • Permutation Invariant Polynomial Neural Network Approach to Fitting Potential Energy Surfaces. II. Four-Atomic Systems
    • Li, J.; Jiang, B.; Guo, H. Permutation Invariant Polynomial Neural Network Approach to Fitting Potential Energy Surfaces. II. Four-Atomic Systems J. Chem. Phys. 2013, 139, 204103
    • (2013) J. Chem. Phys. , vol.139 , pp. 204103
    • Li, J.1    Jiang, B.2    Guo, H.3
  • 21
    • 84898074702 scopus 로고    scopus 로고
    • 2 Reaction on a New Permutationally Invariant Neural Network Potential Energy Surface
    • 2 Reaction on a New Permutationally Invariant Neural Network Potential Energy Surface J. Chem. Phys. 2014, 140, 044327
    • (2014) J. Chem. Phys. , vol.140 , pp. 044327
    • Li, J.1    Chen, J.2    Zhang, D.H.3    Guo, H.4
  • 26
    • 84922439883 scopus 로고    scopus 로고
    • Towards Spectroscopically Accurate Global Ab Initio Potential Energy Surface for the Acetylene-Vinylidene Isomerization
    • Han, H.; Li, A.; Guo, H. Towards Spectroscopically Accurate Global Ab Initio Potential Energy Surface for the Acetylene-Vinylidene Isomerization J. Chem. Phys. 2014, 141, 244312
    • (2014) J. Chem. Phys. , vol.141 , pp. 244312
    • Han, H.1    Li, A.2    Guo, H.3
  • 34
    • 33750123804 scopus 로고
    • Velocity Modulation Infrared Laser Spectroscopy of Molecular Ions
    • Polak, M.; Gruebele, M.; DeKock, B. W.; Saykally, R. J. Velocity Modulation Infrared Laser Spectroscopy of Molecular Ions Mol. Phys. 1989, 66, 1193-1202
    • (1989) Mol. Phys. , vol.66 , pp. 1193-1202
    • Polak, M.1    Gruebele, M.2    Dekock, B.W.3    Saykally, R.J.4
  • 40
    • 37149036190 scopus 로고    scopus 로고
    • A Simple and Efficient CCSD(T)-F12 Approximation
    • Adler, T. B.; Knizia, G.; Werner, H.-J. A Simple and Efficient CCSD(T)-F12 Approximation J. Chem. Phys. 2007, 127, 221106
    • (2007) J. Chem. Phys. , vol.127 , pp. 221106
    • Adler, T.B.1    Knizia, G.2    Werner, H.-J.3
  • 41
    • 59949093519 scopus 로고    scopus 로고
    • Simplified CCSD(T)-F12 Methods: Theory and Benchmarks
    • Knizia, G.; Adler, T. B.; Werner, H.-J. Simplified CCSD(T)-F12 Methods: Theory and Benchmarks J. Chem. Phys. 2009, 130, 054104
    • (2009) J. Chem. Phys. , vol.130 , pp. 054104
    • Knizia, G.1    Adler, T.B.2    Werner, H.-J.3
  • 42
    • 33746614482 scopus 로고
    • Gaussian Basis Sets for Use in Correlated Molecular Calculations. I. The Atoms Boron through Neon and Hydrogen
    • Dunning, T. H. Gaussian Basis Sets for Use in Correlated Molecular Calculations. I. The Atoms Boron through Neon and Hydrogen J. Chem. Phys. 1989, 90, 1007-1023
    • (1989) J. Chem. Phys. , vol.90 , pp. 1007-1023
    • Dunning, T.H.1
  • 43
    • 4143095330 scopus 로고
    • Electron Affinities of the First-Row Atoms Revisited. Systematic Basis Sets and Wave Functions
    • Kendall, R. A.; Dunning, T. H.; Harrison, R. J. Electron Affinities of the First-Row Atoms Revisited. Systematic Basis Sets and Wave Functions J. Chem. Phys. 1992, 96, 6796-6806
    • (1992) J. Chem. Phys. , vol.96 , pp. 6796-6806
    • Kendall, R.A.1    Dunning, T.H.2    Harrison, R.J.3
  • 44
    • 40149107023 scopus 로고    scopus 로고
    • Systematically Convergent Basis Sets for Explicitly Correlated Wavefunctions: The Atoms H, He, B-Ne, and Al-Ar
    • Peterson, K. A.; Adler, T. B.; Werner, H.-J. Systematically Convergent Basis Sets for Explicitly Correlated Wavefunctions: The Atoms H, He, B-Ne, and Al-Ar J. Chem. Phys. 2008, 128, 084102
    • (2008) J. Chem. Phys. , vol.128 , pp. 084102
    • Peterson, K.A.1    Adler, T.B.2    Werner, H.-J.3
  • 45
    • 76349116818 scopus 로고    scopus 로고
    • Correlation Consistent Basis Sets for Molecular Core-Valence Effects with Explicitly Correlated Wave Functions: The Atoms B-Ne and Al-Ar
    • Hill, J. G.; Mazumder, S.; Peterson, K. A. Correlation Consistent Basis Sets for Molecular Core-Valence Effects with Explicitly Correlated Wave Functions: The Atoms B-Ne and Al-Ar J. Chem. Phys. 2010, 132, 054108
    • (2010) J. Chem. Phys. , vol.132 , pp. 054108
    • Hill, J.G.1    Mazumder, S.2    Peterson, K.A.3
  • 48
    • 36749115232 scopus 로고
    • Stability of the Ammonium and Methylammonium Radicals from Neutralized Ion-Beam Spectroscopy
    • Gellene, G. I.; Cleary, D. A.; Porter, R. F. Stability of the Ammonium and Methylammonium Radicals from Neutralized Ion-Beam Spectroscopy J. Chem. Phys. 1982, 77, 3471-3477
    • (1982) J. Chem. Phys. , vol.77 , pp. 3471-3477
    • Gellene, G.I.1    Cleary, D.A.2    Porter, R.F.3
  • 51
    • 80053512754 scopus 로고    scopus 로고
    • Neural Network Potential-Energy Surfaces in Chemistry: A Tool for Large-Scale Simulations
    • Behler, J. Neural Network Potential-Energy Surfaces in Chemistry: A Tool for Large-Scale Simulations Phys. Chem. Chem. Phys. 2011, 13, 17930-17955
    • (2011) Phys. Chem. Chem. Phys. , vol.13 , pp. 17930-17955
    • Behler, J.1
  • 52
    • 77949425807 scopus 로고    scopus 로고
    • Potential Energy Surfaces Fitted by Artificial Neural Networks
    • Handley, C. M.; Popelier, P. L. A. Potential Energy Surfaces Fitted by Artificial Neural Networks J. Phys. Chem. A 2010, 114, 3371-3383
    • (2010) J. Phys. Chem. A , vol.114 , pp. 3371-3383
    • Handley, C.M.1    Popelier, P.L.A.2
  • 53
    • 84936774078 scopus 로고    scopus 로고
    • Neural Network-Based Approaches for Building High Dimensional and Quantum Dynamics-Friendly Potential Energy Surfaces
    • Manzhos, S.; Dawes, R.; Carrington, T. Neural Network-Based Approaches for Building High Dimensional and Quantum Dynamics-Friendly Potential Energy Surfaces Int. J. Quantum Chem. 2014, 10.1002/qua.24795
    • (2014) Int. J. Quantum Chem.
    • Manzhos, S.1    Dawes, R.2    Carrington, T.3
  • 54
    • 77950103184 scopus 로고    scopus 로고
    • Permutationally Invariant Polynomial Basis for Molecular Energy Surface Fitting Via Monomial Symmetrization
    • Xie, Z.; Bowman, J. M. Permutationally Invariant Polynomial Basis for Molecular Energy Surface Fitting Via Monomial Symmetrization J. Chem. Theory Comput. 2010, 6, 26-34
    • (2010) J. Chem. Theory Comput. , vol.6 , pp. 26-34
    • Xie, Z.1    Bowman, J.M.2
  • 55
    • 0028543366 scopus 로고
    • Training Feedforward Networks with the Marquardt Algorithm
    • Hagan, M. T.; Menhaj, M. B. Training Feedforward Networks with the Marquardt Algorithm IEEE Trans. Neural Networks 1994, 5, 989-993
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 989-993
    • Hagan, M.T.1    Menhaj, M.B.2
  • 56
    • 49749132826 scopus 로고    scopus 로고
    • 2 Reaction
    • 2 Reaction J. Chem. Phys. 2008, 129, 064315
    • (2008) J. Chem. Phys. , vol.129 , pp. 064315
    • Yang, M.1
  • 59
    • 12144262727 scopus 로고
    • The Discrete Variable Representation of a Triatomic Hamiltonian in Bond Length Bond Angle Coordinates
    • Wei, H.; Carrington, T., Jr. The Discrete Variable Representation of a Triatomic Hamiltonian in Bond Length Bond Angle Coordinates J. Chem. Phys. 1992, 97, 3029
    • (1992) J. Chem. Phys. , vol.97 , pp. 3029
    • Wei, H.1    Carrington, Jr.T.2
  • 60
    • 0000291562 scopus 로고
    • Potential Optimized Discrete Variable Representation
    • Echave, J.; Clary, D. C. Potential Optimized Discrete Variable Representation Chem. Phys. Lett. 1992, 190, 225
    • (1992) Chem. Phys. Lett. , vol.190 , pp. 225
    • Echave, J.1    Clary, D.C.2
  • 63
    • 0000112124 scopus 로고
    • A General Discrete Variable Method to Calculate Vibrational Energy Levels of Three- and Four-Atom Molecules
    • Bramley, M. J.; Carrington, T., Jr. A General Discrete Variable Method to Calculate Vibrational Energy Levels of Three- and Four-Atom Molecules J. Chem. Phys. 1993, 99, 8519-8541
    • (1993) J. Chem. Phys. , vol.99 , pp. 8519-8541
    • Bramley, M.J.1    Carrington, Jr.T.2
  • 64
    • 0000229685 scopus 로고    scopus 로고
    • Discrete-Variable Representations and Their Utilization
    • Light, J. C.; Carrington, T., Jr. Discrete-Variable Representations and Their Utilization Adv. Chem. Phys. 2000, 114, 263-310
    • (2000) Adv. Chem. Phys. , vol.114 , pp. 263-310
    • Light, J.C.1    Carrington, Jr.T.2
  • 65
    • 0036678361 scopus 로고    scopus 로고
    • An Exact Variational Method to Calculate Vibrational Energies of Five Atom Molecules beyond the Normal Mode Approach
    • Yu, H.-G. An Exact Variational Method to Calculate Vibrational Energies of Five Atom Molecules Beyond the Normal Mode Approach J. Chem. Phys. 2002, 117, 2030
    • (2002) J. Chem. Phys. , vol.117 , pp. 2030
    • Yu, H.-G.1
  • 66
    • 67650617684 scopus 로고    scopus 로고
    • A General Rigorous Quantum Dynamics Algorithm to Calculate Vibrational Energy Levels of Pentaatomic Molecules
    • Yu, H.-G. A General Rigorous Quantum Dynamics Algorithm to Calculate Vibrational Energy Levels of Pentaatomic Molecules J. Mol. Spectrosc. 2009, 256, 287-298
    • (2009) J. Mol. Spectrosc. , vol.256 , pp. 287-298
    • Yu, H.-G.1
  • 67
    • 0038107618 scopus 로고    scopus 로고
    • A Contracted Basis-Lanczos Calculation of Vibrational Levels of Methane: Solving the Schrodinger Equation in Nine Dimensions
    • Wang, X.-G.; Carrington, T., Jr. A Contracted Basis-Lanczos Calculation of Vibrational Levels of Methane: Solving the Schrodinger Equation in Nine Dimensions J. Chem. Phys. 2003, 119, 101
    • (2003) J. Chem. Phys. , vol.119 , pp. 101
    • Wang, X.-G.1    Carrington, Jr.T.2
  • 68
    • 4344688264 scopus 로고    scopus 로고
    • A Finite Basis Representation Lanczos Calculation of the Bend Energy Levels of Methane
    • Wang, X.-G.; Carrington, T., Jr. A Finite Basis Representation Lanczos Calculation of the Bend Energy Levels of Methane J. Chem. Phys. 2004, 121, 2937
    • (2004) J. Chem. Phys. , vol.121 , pp. 2937
    • Wang, X.-G.1    Carrington, Jr.T.2
  • 69
    • 0041932212 scopus 로고    scopus 로고
    • Multimode: A Code to Calculate Rovibrational Energies of Polyatomic Molecules
    • Bowman, J. M.; Carter, S.; Huang, X. Multimode: A Code to Calculate Rovibrational Energies of Polyatomic Molecules Int. Rev. Phys. Chem. 2003, 22, 533-549
    • (2003) Int. Rev. Phys. Chem. , vol.22 , pp. 533-549
    • Bowman, J.M.1    Carter, S.2    Huang, X.3
  • 70
    • 84945599356 scopus 로고
    • Simplification of Molecular Vibration-Rotation Hamiltonian
    • Watson, J. K. G. Simplification of Molecular Vibration-Rotation Hamiltonian Mol. Phys. 1968, 15, 479-490
    • (1968) Mol. Phys. , vol.15 , pp. 479-490
    • Watson, J.K.G.1
  • 71
    • 0001731833 scopus 로고
    • The Self-Consistent-Field Approach to Polyatomic Vibrations
    • Bowman, J. M. The Self-Consistent-Field Approach to Polyatomic Vibrations Acc. Chem. Res. 1986, 19, 202-208
    • (1986) Acc. Chem. Res. , vol.19 , pp. 202-208
    • Bowman, J.M.1
  • 72
    • 33845375177 scopus 로고
    • Excited Vibrational States of Polyatomic Molecules: The Semiclassical Self-Consistent-Filed Approach
    • Ratner, M. A.; Gerber, R. B. Excited Vibrational States of Polyatomic Molecules: The Semiclassical Self-Consistent-Filed Approach J. Phys. Chem. 1986, 90, 20-30
    • (1986) J. Phys. Chem. , vol.90 , pp. 20-30
    • Ratner, M.A.1    Gerber, R.B.2
  • 73
    • 0000947511 scopus 로고    scopus 로고
    • The Adiabatic Rotation Approximation for Rovibrational Energies of Many-Mode Systems: Description and Tests of the Method
    • Carter, S.; Bowman, J. M. The Adiabatic Rotation Approximation for Rovibrational Energies of Many-Mode Systems: Description and Tests of the Method J. Chem. Phys. 1998, 108, 4397-4404
    • (1998) J. Chem. Phys. , vol.108 , pp. 4397-4404
    • Carter, S.1    Bowman, J.M.2
  • 74
    • 0032217993 scopus 로고    scopus 로고
    • Extensions and Tests of "multimode": A Code to Obtain Accurate Vibration/Rotation Energies of Many-Mode Molecules
    • Carter, S.; Bowman, J. M.; Handy, N. C. Extensions and Tests Of "Multimode": A Code to Obtain Accurate Vibration/Rotation Energies of Many-Mode Molecules Theor. Chem. Acc. 1998, 100, 191-198
    • (1998) Theor. Chem. Acc. , vol.100 , pp. 191-198
    • Carter, S.1    Bowman, J.M.2    Handy, N.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.